Question

Daniella is drawing plans for a garden, measured in feet, which is shown below on the coordinate plane. Daniella has two vertices of the garden at points (-3,-1)

Answer 1

Answer:

$(2,-1)$ and $(9,-1)$

Step-by-step explanation:

Given

$(x_1,y_1) = (-3,-1)$

$(x_2,y_2) = (4,-1)$

$Area = 35ft^2$

Required

The other two points

First, calculate the distance between the given points using:

$d = \sqrt{(x_1 - x_2)^2 + (x_2 - y_2)^2}$

$d = \sqrt{(-3 - 4)^2 + (-1- -1)^2}$

$d = \sqrt{(-7)^2 + (0)^2}$

$d = \sqrt{49 + 0}$

$d = \sqrt{49}$

$d = 7$

Calculate the length of the other part using:

$Length = \frac{Area}{d}$

$Length = \frac{35}{7}$

$Length = 5$

This means that the other points is 5 units (up or down) away from the given points

Assume the new points are up, the new dimension is:

$(x_3,y_3) = (-3+5,-1)$

$(x_3,y_3) = (2,-1)$

$(x_3,y_3) = (4+5,-1)$

$(x_3,y_3) = (9,-1)$